Entropy on semi MV-algebra

In this paper,at first the notion of unity partition on semi mv-algebra with rdp is introduced. by using of state function,the concept of entropy and conditional entropy on partitions of semi mv-algebra with rdp are defined and,in addition some of basic properties related to this notions are investigated. afterwards semi dynamical system on semi mv-algebra with rdp and lower and upper entropies on semi dynamical system are introduced,respectively. then some theorem related to this concepts are proved. in final part of this article,entropy of some semi dynamical systems on semi mv-algebra with rdp are calculated.